%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW412-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:11:50 AM UTC 2026
% Result : Unsatisfiable 87.50s 15.24s
% Output : CNFRefutation 87.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 17 unt; 6 nHn; 19 RR)
% Number of literals : 32 ( 16 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_4,hypothesis,
x3 != x2 ).
cnf(premise_6,hypothesis,
x1 != x4 ).
cnf(premise_8,hypothesis,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))) ).
cnf(associative_commutative,axiom,
sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)) ).
cnf(unfolding_2,axiom,
( heap(sep(lseg(X0,X2),X3))
| X0 = X1
| ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3))) ) ).
cnf(c3,plain,
x3 != x2,
inference(clausification,[status(esa)],[premise_4]) ).
cnf(c5,plain,
x1 != x4,
inference(clausification,[status(esa)],[premise_6]) ).
cnf(c7,plain,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
inference(clausification,[status(esa)],[premise_8]) ).
cnf(c8,plain,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
inference(clausification,[status(esa)],[conclusion_1]) ).
cnf(c9,plain,
sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(clausification,[status(esa)],[associative_commutative]) ).
cnf(c16,plain,
( heap(sep(lseg(X0,X2),X3))
| X0 = X1
| ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3))) ),
inference(clausification,[status(esa)],[unfolding_2]) ).
cnf(d0,plain,
sep(X3,sep(X1,sep(X0,X2))) = sep(X0,sep(X3,sep(X1,X2))),
inference(superposition,[status(thm)],[c9,c9]) ).
cnf(d1,plain,
sep(X2,sep(X0,sep(X1,X3))) = sep(X1,sep(X0,sep(X2,X3))),
inference(superposition,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
( heap(sep(lseg(X0,X2),sep(X3,X4)))
| X0 = X1
| ~ heap(sep(X3,sep(lseg(X1,X2),sep(next(X0,X1),X4)))) ),
inference(superposition,[status(thm)],[d1,c16]) ).
cnf(d3,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x3,nil),sep(next(x2,x3),emp))))
| x1 = x4 ),
inference(resolution,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
heap(sep(lseg(x1,nil),sep(lseg(x3,nil),sep(next(x2,x3),emp)))),
inference(resolution,[status(thm)],[c5,d3]) ).
cnf(d5,plain,
( heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp)))
| x2 = x3 ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x2,nil),emp)))
| x2 = x3 ),
inference(demodulation,[status(thm)],[d5,c9]) ).
cnf(d7,plain,
~ heap(sep(lseg(x1,nil),sep(lseg(x2,nil),emp))),
inference(demodulation,[status(thm)],[c8,c9]) ).
cnf(d8,plain,
x2 = x3,
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
x2 != x2,
inference(demodulation,[status(thm)],[c3,d8]) ).
cnf(d10,plain,
$false,
inference(equality_resolution,[status(thm)],[d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW412-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.44 % Computer : n020.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Sat Sep 26 15:51:04 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 87.50/15.24 % SZS status Unsatisfiable for theBenchmark.p
% 87.50/15.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------